Skip to main contentSkip to solution

Match List-I with List-II

List-IList-II
(Time)(Angle between the hour hand and minute hand of a clock)
(A) 2:20 p.m.(I) 35°
(B) 3:10 p.m(II) 70°
(C) 4:30 p.m(III) 50°
(D) 5:40 p.m(IV) 45°

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 4

The angle between the hour and minute hands of a clock can be found using the formula:

Angle =∣30H−5.5M∣= |30H - 5.5M|

where HH is the hour and MM is the minutes.

If the angle is greater than 180°180°, use 360°−angle360° - \text{angle}.


For (A) 2:20 p.m.:

H=2H = 2, M=20M = 20

Angle =∣30(2)−5.5(20)∣= |30(2) - 5.5(20)|

=∣60−110∣= |60 - 110|

=∣−50∣= |-50|

=50°= 50°

Therefore, (A) matches with (III)


For (B) 3:10 p.m.:

H=3H = 3, M=10M = 10

Angle =∣30(3)−5.5(10)∣= |30(3) - 5.5(10)|

=∣90−55∣= |90 - 55|

=35°= 35°

Therefore, (B) matches with (I)


For (C) 4:30 p.m.:

H=4H = 4, M=30M = 30

Angle =∣30(4)−5.5(30)∣= |30(4) - 5.5(30)|

=∣120−165∣= |120 - 165|

=∣−45∣= |-45|

=45°= 45°

Therefore, (C) matches with (IV)


For (D) 5:40 p.m.:

H=5H = 5, M=40M = 40

Angle =∣30(5)−5.5(40)∣= |30(5) - 5.5(40)|

=∣150−220∣= |150 - 220|

=∣−70∣= |-70|

=70°= 70°

Therefore, (D) matches with (II)


The correct matching is:

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

Therefore, the correct answer is Option 4.

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question